Year 8 Expanding Brackets Worksheet — Level 2 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 8 algebraic expressions worksheet.
Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Algebraic ExpressionsYear 8 Expanding Brackets Worksheet — Level 2 — Practice Set 4 — Answers
Multiply every term inside the bracket. Then collect like terms.
1.Expand and simplify: (x + 4)(x + 5)
Answer: x2 + 9x + 20
- x × x = x2
- x × 5 + 4 × x = 9x
- 4 × 5 = 20
2.Expand and simplify: (x − 7)(x + 1)
Answer: x2 − 6x − 7
- x × x = x2
- x × 1 + −7 × x = −6x
- −7 × 1 = −7
3.Expand and simplify: (x − 2)(x − 6)
Answer: x2 − 8x + 12
- x × x = x2
- x × −6 + −2 × x = −8x
- −2 × −6 = 12
4.Expand and simplify: (x + 8)(x − 5)
Answer: x2 + 3x − 40
- x × x = x2
- x × −5 + 8 × x = 3x
- 8 × −5 = −40
5.Expand and simplify: (x − 5)(x + 7)
Answer: x2 + 2x − 35
- x × x = x2
- x × 7 + −5 × x = 2x
- −5 × 7 = −35
6.Expand and simplify: (x + 7)(x − 5)
Answer: x2 + 2x − 35
- x × x = x2
- x × −5 + 7 × x = 2x
- 7 × −5 = −35
7.Expand and simplify: (x + 9)(x + 1)
Answer: x2 + 10x + 9
- x × x = x2
- x × 1 + 9 × x = 10x
- 9 × 1 = 9
8.Expand and simplify: (x − 4)(x + 9)
Answer: x2 + 5x − 36
- x × x = x2
- x × 9 + −4 × x = 5x
- −4 × 9 = −36
9.Expand and simplify: (x − 4)(x − 3)
Answer: x2 − 7x + 12
- x × x = x2
- x × −3 + −4 × x = −7x
- −4 × −3 = 12
10.Expand and simplify: (x + 1)(x − 7)
Answer: x2 − 6x − 7
- x × x = x2
- x × −7 + 1 × x = −6x
- 1 × −7 = −7
11.Expand and simplify: (x + 1)(x − 6)
Answer: x2 − 5x − 6
- x × x = x2
- x × −6 + 1 × x = −5x
- 1 × −6 = −6
12.Expand and simplify: (x + 9)(x − 2)
Answer: x2 + 7x − 18
- x × x = x2
- x × −2 + 9 × x = 7x
- 9 × −2 = −18
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